Parker, a $50-$year$-$old earning $$120,000$ annually, plans to retire in $15$ years and estimates living until age $95$ due to his family's longevity. He expects to need $65\%$ of his current salary annually in retirement. Parker anticipates earning a $9\%$ return on his portfolio while working, reducing to $7\%$ during retirement, with inflation continuing at $3\%.$ He currently has $$350,000$ saved for retirement, and his Social Security benefit is $$30,000$ annually $($in today$$s dollars$)$ at full retirement age of $67.$ However, his Social Security benefit will be reduced by $62/3\%$ for each year he collects before full retirement age. Calculate how much Parker needs to save each year to meet his retirement goals.

Group of answer choices

$$2,465$

$$2,987$

$$4,975$

$$6,855$